Generalized contraction and invariant approximation results on nonconvex subsets of normed spaces
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| dc.contributor.author | Abbas, Mujahid
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| dc.contributor.author | Ali, Basit
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| dc.contributor.author | Romaguera, Salvador
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| dc.date.accessioned | 2014-09-09T06:32:18Z | |
| dc.date.available | 2014-09-09T06:32:18Z | |
| dc.date.issued | 2014-02-26 | |
| dc.description.abstract | Wardowski (2012) introduced a new type of contractive mapping and proved a fixed point result in complete metric spaces as a generalization of Banach contraction principle. In this paper, we introduce a notion of generalized F-contraction mappings which is used to prove a fixed point result for generalized nonexpansive mappings on star-shaped subsets of normed linear spaces. Some theorems on invariant approximations in normed linear spaces are also deduced. Our results extend, unify, and generalize comparable results in the literature. | en_US |
| dc.description.librarian | am2014 | en_US |
| dc.description.sponsorship | Salvador Romaguera acknowledges the support of the Universitat Politecnica de Valencia, Grant PAID-06-12-SP20120471. | en_US |
| dc.description.uri | http://www.hindawi.com/journals/aaa/ | en_US |
| dc.identifier.citation | Abbas, M, Ali, B & Romaguera, S 2014, 'Generalized contraction and invariant approximation results on nonconvex subsets of normed spaces', Abstract and Applied Analysis, vol. 2014, art. 391952, pp. 1-5.as | en_US |
| dc.identifier.issn | 1085-3375 (print) | |
| dc.identifier.issn | 1687-0409 (online) | |
| dc.identifier.other | 10.1155/2014/391952 | |
| dc.identifier.uri | http://hdl.handle.net/2263/41949 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Publishing Corporation | en_US |
| dc.rights | © 2014 Mujahid Abbas et al. This is an open access article distributed under the Creative Commons Attribution License. | en_US |
| dc.subject | Generalized F-contraction mappings | en_US |
| dc.subject | Fixed point result | en_US |
| dc.subject | Generalized nonexpansive mappings | en_US |
| dc.subject | Star-shaped subsets | en_US |
| dc.subject | Normed linear spaces | en_US |
| dc.title | Generalized contraction and invariant approximation results on nonconvex subsets of normed spaces | en_US |
| dc.type | Article | en_US |
